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A student first takes the mean of $\frac{1}{2}$ and $\frac{1}{3}$ .
Then she takes the mean of that result with $\frac{1}{3}$ again.
What is the second result?

Class 8Rational Numbers Between Two NumbersRational Numbers

A $\frac{3}{8}$
B $\frac{5}{12}$
C $\frac{11}{24}$
D $\frac{7}{12}$

Step-by-Step Solution

First mean =

\frac{1/2 + 1/3}{2} = \frac{5/6}{2} = \frac{5}{12}

. Second mean =

\frac{5/12 + 1/3}{2} = \frac{5/12 + 4/12}{2} = \frac{9/12}{2} = \frac{9}{24} = \frac{3}{8}

.

Answer: A)

\frac{3}{8}

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